A hand exerciser utilizes a coiled spring. A force of 82.0 N is required to compress the string by 0.0191 m. Determine the force needed to compress the spring by 0.0520 m.
F = k x
k = 82/.0191
F = (82/.0191) * .0520
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To determine the force needed to compress the spring by 0.0520 m, we can use Hooke's Law, which states that the force required to compress or extend a spring is directly proportional to the displacement.
Hooke's Law is represented by the equation:
F = k * x
Where:
F is the force applied,
k is the spring constant, and
x is the displacement or compression/extension of the spring.
In this case, we are given the force (82.0 N) required to compress the spring by 0.0191 m. We can use this information to find the spring constant.
Rearranging the equation, we get:
k = F / x
Substituting the given values, we have:
k = 82.0 N / 0.0191 m
Calculating this expression will give us the spring constant, k.
Once we have the spring constant, we can use it to calculate the force needed to compress the spring by 0.0520 m.
F = k * x
Substituting the calculated spring constant and the given displacement, we get:
F = k * 0.0520 m
Calculating this expression will give us the force needed to compress the spring by 0.0520 m.